Background: This paper describes an analytical study of a bandpass filter that is based on the dynamic response of electrostatically-driven MEMS oscillators. Method of Approach: Unlike most mechanical and electrical filters that rely on direct linear resonance for filtering, the MEM filter presented in this work employs parametric resonance. Results: While the use of parametric resonance improv...

Nonlinearity plays a critical role on the behavior of oscillators operating in the parametric resonance mode. Here, we study the effects of Effective Nonlinear Parameter, (effective cubic stiffness), γ3eff, on the behavior of parametric resonance in a micro electro mechanical oscillator. The value of γ3eff can be tuned by changing the amplitude of applied voltage. Varying the sign of γ3eff can ...

We introduce a time-dependent perturbation method to calculate the number of created particles in a 1D cavity with an oscillating wall of the frequency Ω. This method makes it easy to find the dominant part of the solution which results from the parametric resonance. The maximal number of particles are created at the mode frequency Ω/2. Using the Floquet theory, we discuss the long-time behavio...

We show that the most general inflaton potential in Minkowski spacetime for which the differential equation for the Fourier modes of the matter fields reduces to Lamé’s equation is of the form V (φ) = λφ/4 + Kφ/2 + μ/(2φ) + V0. As an application, we study the preheating phase after inflation for the above potential with K = 0 and arbitrary λ, μ > 0. For certain values of the coupling constant b...

We discuss the potentially important rôle played by preheating in certain variants of the curvaton mechanism in which isocurvature perturbations of a D-flat (and F-flat) direction become converted to curvature perturbations during reheating. We analyse the transition from inflation to reheating in some detail, including the dynamics of the coupled curvaton and inflation fields during this trans...

Parametric ladder climbing and the quantum saturation of the threshold for the classical parametric autoresonance due to the zero point fluctuations at low temperatures are discussed. The probability for capture into the chirped parametric resonance is found by solving the Schrödinger equation in the energy basis and the associated resonant phase-space dynamics is illustrated via the Wigner dis...

We investigate the decay of metastable states with broken CP-symmetry which have recently been proposed by Kharzeev, Pisarski and Tytgat to form in hot hadronic matter. We consider the efficiency of the amplification of the η′-field via parametric resonance, taking the backreaction into account. For times of the order t ≈ 10fm, we find a particle density of about 0.7 /fm and a correlation lengt...